Orthogonality relations of Crouzeix-Raviart and Raviart-Thomas finite element spaces

05/06/2020
by   Sören Bartels, et al.
0

Identities that relate projections of Raviart-Thomas finite element vector fields to discrete gradients of Crouzeix-Raviart finite element functions are derived under general conditions. Various implications such as discrete convex duality results and a characterization of the image of the projection of the Crouzeix-Ravaiart space onto elementwise constant functions are deduced.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
02/07/2023

Finite element grad grad complexes and elasticity complexes on cuboid meshes

This paper constructs two conforming finite element grad grad and elasti...
research
04/01/2021

Local L^2-bounded commuting projections in FEEC

We construct local projections into canonical finite element spaces that...
research
05/05/2023

Pointwise gradient estimate of the ritz projection

Let Ω⊂ℝ^n be a convex polytope (n ≤ 3). The Ritz projection is the best ...
research
06/21/2019

Finite Element Systems for vector bundles : elasticity and curvature

We develop a theory of Finite Element Systems, for the purpose of discre...
research
08/02/2020

Conforming Discrete Gradgrad-Complexes in Three Dimensions

In this paper, the first family of conforming discrete three dimensional...
research
02/21/2017

Automatic implementation of material laws: Jacobian calculation in a finite element code with TAPENADE

In an effort to increase the versatility of finite element codes, we exp...
research
11/06/2018

Finite element approximation of non-Markovian random fields

In this paper, we present finite element approximations of a class of Ge...

Please sign up or login with your details

Forgot password? Click here to reset